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Solving the n-body Problem
General Physics, a California-based corporation committed to advancing fundamental physics and computational methods, is pioneering a transformative mathematical approach to a problem that has plagued classical dynamics for centuries: the general n-body problem. Traditional analytical solutions for n greater than 3 have proven elusive, necessitating computationally intensive simulations. Our research proposes a shift from continuous differential equations in position space to
Stephen Sharma
20 hours ago3 min read
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MD versus PIC-FEM
Both Molecular Dynamics (MD) with a Lennard-Jones (LJ) potential and the Particle-in-Cell (PIC) method with a Finite Element Method (FEM) mesh are computational approaches for modeling plasma, but they operate on vastly different scales and principles, making them suitable for distinct aspects of an H-mode fusion plasma in a stellarator-tokamak hybrid. MD, an atomistic, first-principles technique using the LJ potential (designed for neutral, non-bonded atoms, and a crude appr
Stephen Sharma
5 days ago2 min read
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ICNSP 2025 Summary
The Totality of ICNSP 2025: Charting the Computational Frontier of Fusion Plasma The pursuit of practical fusion energy stands as one of humanity's greatest scientific and engineering challenges. At General Physics, we understand that unlocking this potential hinges on our ability to model and predict the complex, non-linear dynamics of plasma. This commitment to computational fidelity was powerfully reaffirmed at the recent International Conference on Numerical Simulation of
Stephen Sharma
5 days ago3 min read
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Shapes Beyond Sine: Hilbert's Space Filling Curve
Traditional approaches in periodic function mapping and the understanding of how oscillatory behavior are modeled mean two things. One: the basic ideas of periodicity are tied to a cosine and sine approach. Two: interpretations of physical waves come from recursion relations and differential expressions. The innovations that modern physicists who study fractals bring to the forefront of eikonals are the multi-valued and space filling curve of Hilbert. Physical waves have to m
Stephen Sharma
Nov 72 min read
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